Journal of Applied Mathematics

Modified Nonradial Supper Efficiency Models

H. Jahanshahloo, F. Hosseinzadeh Lotfi, and M. Khodabakhshi

Full-text: Access has been disabled (more information)

Abstract

Ranking Efficient Decision Making Units (DMUs) are an important issue in Data Envelopment Analysis (DEA). This is one of the main areas for the researcher. Different methods for this purpose have been suggested. Appearing nonzero slack in optimal solution makes the method problematic. In this paper, we modify the nonradial supper efficiency model to remove this difficulty. Some numerical examples are solved by modified model.

Article information

Source
J. Appl. Math. Volume 2014 (2014), Article ID 919547, 5 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
http://projecteuclid.org/euclid.jam/1425305531

Digital Object Identifier
doi:10.1155/2014/919547

Mathematical Reviews number (MathSciNet)
MR3173340

Citation

Jahanshahloo, H.; Lotfi, F. Hosseinzadeh; Khodabakhshi, M. Modified Nonradial Supper Efficiency Models. J. Appl. Math. 2014 (2014), Article ID 919547, 5 pages. doi:10.1155/2014/919547. http://projecteuclid.org/euclid.jam/1425305531.


Export citation

References

  • M. Khodabakhshi and K. Aryavash, “Ranking all units in data envelopment analysis,” Applied Mathematics Letters, vol. 25, no. 12, pp. 2066–2070, 2012.
    Mathematical Reviews (MathSciNet): MR2967790
    Zentralblatt MATH: 1260.90113
    Digital Object Identifier: doi:10.1016/j.aml.2012.04.019
  • M. Khodabakhshi, M. Asgharian, and G. N. Gregoriou, “An inp-ut-oriented super-efficiency measure in stochastic data envelopment analysis: evaluating chief executive officers of US public banks and thrifts,” Expert Systems with Applications, vol. 37, no. 3, pp. 2092–2097, 2010.
  • G. R. Jahanshahloo and M. Khodabakhshi, “Using input-output orientation model for determining most productive scale size in DEA,” Applied Mathematics and Computation, vol. 146, no. 2-3, pp. 849–855, 2003.
    Mathematical Reviews (MathSciNet): MR2008592
    Zentralblatt MATH: 1101.90366
    Digital Object Identifier: doi:10.1016/S0096-3003(02)00636-7
  • P. Andersen and N. C. Petersen, “A produce for ranking efficient units in data envelopment analysis,” Managment Science, vol. 39, pp. 1261–1264, 1993.
  • M. Khodabakhshi, “A super-efficiency model based on impro-ved outputs in data envelopment analysis,” Applied Mathematics and Computation, vol. 184, no. 2, pp. 695–703, 2007.
    Mathematical Reviews (MathSciNet): MR2294934
    Zentralblatt MATH: 1149.90077
    Digital Object Identifier: doi:10.1016/j.amc.2006.06.110
  • M. Khodabakhshi, “An output oriented super-efficiency measure in stochastic data envelopment analysis: considering Iranian electricity distribution companies,” Computers & Industrial Engineering, vol. 58, no. 4, pp. 663–671, 2010.
  • K. Tone, “A slacks-based measure of super-efficiency in dataenvelopment analysis,” European Journal of Operational Rese-arch, vol. 143, no. 1, pp. 32–41, 2002.
    Mathematical Reviews (MathSciNet): MR1922620
    Zentralblatt MATH: 1073.90520
    Digital Object Identifier: doi:10.1016/S0377-2217(01)00324-1
  • M. Khodabakhshi, “Super-efficiency in stochastic data envelopment analysis: an input relaxation approach,” Journal of Computational and Applied Mathematics, vol. 235, no. 16, pp. 4576–4588, 2011.
    Mathematical Reviews (MathSciNet): MR2805700
    Zentralblatt MATH: 05930981
    Digital Object Identifier: doi:10.1016/j.cam.2010.03.023
  • S. Ramezani-Tarkhorani, M. Khodabakhshi, S. Mehrabian, and F. Nuri-Bahmani, “On ranking decision making units with čommentComment on ref. [18?]: Please update the information of this reference, if possible.common weights in DEA,” Applied Mathematical Modelling. In press. \endinput

Hindawi

Journal of Applied Mathematics

New content alerts

Email RSS ToC RSS Article
  • You have access to this content.
  • You have partial access to this content.
  • You do not have access to this content.
Turn Off MathJax

What is MathJax?

More like this

+ See more